On the relation between mathematical and numerical relativity

TL;DR

This paper discusses the relationship between mathematical and numerical relativity, highlighting their distinctions and successful interactions, especially in the context of binary black hole research.

Contribution

It clarifies the distinction between mathematical and numerical relativity and provides examples of their successful collaboration.

Findings

Numerical and mathematical relativity have distinct focuses but can complement each other.

Successful interactions have advanced understanding of binary black hole systems.

Abstract

The large scale binary black hole effort in numerical relativity has led to an increasing distinction between numerical and mathematical relativity. This note discusses this situation and gives some examples of succesful interactions between numerical and mathematical methods is general relativity.